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# Diffie Hellman
Diffie-Hellman key exchange.
Alice and Bob use Diffie-Hellman key exchange to share secrets. They
start with prime numbers, pick private keys, generate and share public
keys, and then generate a shared secret key.
## Step 0
The test program supplies prime numbers p and g.
## Step 1
Alice picks a private key, a, greater than 1 and less than p. Bob does
the same to pick a private key b.
## Step 2
Alice calculates a public key A.
A = g**a mod p
Using the same p and g, Bob similarly calculates a public key B from his
private key b.
## Step 3
Alice and Bob exchange public keys. Alice calculates secret key s.
s = B**a mod p
Bob calculates
s = A**b mod p
The calculations produce the same result! Alice and Bob now share
secret s.
## Setup
Go through the setup instructions for JavaScript to install the
necessary dependencies:
http://exercism.io/languages/javascript/installation
## Running the test suite
The provided test suite uses [Jasmine](https://jasmine.github.io/).
You can install it by opening a terminal window and running the
following command:
```sh
npm install -g jasmine
```
Run the test suite from the exercise directory with:
```sh
jasmine diffie-hellman.spec.js
```
In many test suites all but the first test have been marked "pending".
Once you get a test passing, activate the next one by changing `xit` to `it`.
## Source
Wikipedia, 1024 bit key from www.cryptopp.com/wiki. [http://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange](http://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange)
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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